Download PDF
Free download in PDF Class 12 Maths Chapter 8 Application of Integrals Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>
(1)
Area of the ellipse
is
[A]
4πab sq.units
[B]
2πab sq.units
[C]
πab sq.units
[D]
πab/2 sq.units
(2)
The area bounded by the curve 2x2 + y2 = 2 is
[A]
π sq. units
[B]
√2π sq. units
[C]
π/2 sq. units
[D]
2π sq. units
(3)
The area of the ellipse
is
[A]
6π sq. units
[B]
π(a2+b2)/4 sq. units
[C]
p(a + b) sq. units
[D]
none of these
(4)
If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is
[A]
9/2 sq. units
[B]
8 sq. units
[C]
12 sq. units
[D]
4 sq. units
(5)
Area of the region between the curves x2 + y2 = π2, y = sin x and y-axis in first quadrant is
(6)
The area included between the curves x2 = 4by and y2 = 4ax
[A]
16ab sq. units
[B]
16ab/3 sq. units
[C]
4ab sq. units
[D]
16πab sq. units
(7)
Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12.
[A]
27 sq. units
[B]
28 sq. units
[C]
54 sq. units
[D]
30 sq. units
(8)
The area lying above x-axis and included between the circle x2 + y2 = 8x and inside of parabola y2 = 4x is
[A]
1/3 (2 + 3π) sq. units
[B]
2/3 (4 + 3π) sq. units
[C]
(6 + 3π) sq. units
[D]
4/3 (8 + 3π) sq. units
Answer: 4/3 (8 + 3π) sq. units
(9)
The area of smaller portion bounded by |y| = -x + 1 and y2 = 4x is
[A]
1 sq. units
[B]
2 sq. units
[C]
3 sq. units
[D]
none of these
(10)
The area bounded by the line y = 2x – 2, y = -x and x-axis is given by
[A]
9/2 sq. units
[B]
43/6 sq. units
[C]
35/6 sq. units
[D]
None of these
(11)
The area bounded by the lines y = |x – 1| and y = 3 – |x| is
[A]
2 sq. units
[B]
3 sq. units
[C]
4 sq. units
[D]
6 sq. units
(12)
Area bounded by the lines y = |x| and y = 1 – |x – 1| is equal to
[A]
4 sq. units
[B]
6 sq. units
[C]
2 sq. units
[D]
8 sq. units
(13)
The ratio in which the x-axis divides the area of the region bounded by the curves y = x2 – 4x and y = 2x – x2
[A]
4 : 23
[B]
4 : 27
[C]
4 : 19
[D]
none of these
(14)
The area enclosed by the curve y = √x and x = -√y , the circle x2 + y2 = 2 above the x-axis is
[A]
π/4 sq. units
[B]
3π/2 sq. units
[C]
π sq. units
[D]
π/2 sq. units
(15)
The area enclosed between the graph of y = x3 and the lines x = 0, y = 1, y = 8 is
[A]
45/4
[B]
14
[C]
7
[D]
none of these
(16)
The area bounded by the curve x2 = 4y = 4y + 4 and line 3x + 4y = 0 is
[A]
0 sq. units
[B]
125/8 sq. units
[C]
125/16 sq. units
[D]
125/24 sq. units
(17)
The area bounded by y=
is
[A]
4/3 sq. units
[B]
13/2 sq. units
[C]
12/5 sq. units
[D]
42/5 sq. units
(18)
The area bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is
[A]
1 sq. units
[B]
1/3 sq. units
[C]
2/3 sq. units
[D]
4/3 sq. units
(19)
The area bounded by the lines y = 4x + 5, y = 5 – x and 4y = x + 5 is
[A]
15/2 sq. units
[B]
92 sq. units
[C]
13/2 sq. units
[D]
None of these
(20)
The area enclosed by the parabola y2 = 2x and tangents through the point (-2, 0) is
[A]
3 sq. units
[B]
4 sq. units
[C]
4/3 sq. units
[D]
8/3 sq. units
Please share this page
Chapters